Final answer:
After evaluating the function f(x) for x = -3 and then multiplying the result by 2, we find that 2[f(-3)] = -472, which does not match any of the given options, so the answer is E. None of the above.
Step-by-step explanation:
To find the value of 2[f(-3)] given f(x) = -3x⁴ - 2x + 1, we first evaluate f(-3). Here's the step-by-step process: Substitute x with -3 into the function: f(-3) = -3(-3)⁴ - 2(-3) + 1. Simplify the expression: f(-3) = -3(81) - (-6) + 1. Further simplify: f(-3) = -243 + 6 + 1. Combine like terms: f(-3) = -236. Now, calculate 2[f(-3)]: 2 * -236. Final result: 2[f(-3)] = -472. Since the given options do not include -472, the answer is E. None of the above.